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Finding the Fourth Proportional to 297,692.32, 410,802.96 and 176,844.64

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Solution

The fourth proportional to 297,692.32, 410,802.96 and 176,844.64 is: 244,038.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,692.32 : 410,802.96 = 176,844.64 : x
  2. Step 2: Convert to fraction form
    297,692.32/410,802.96 = 176,844.64/x
  3. Step 3: Cross multiply
    297,692.32x = 410,802.96 × 176,844.64
  4. Step 4: Simplify right side
    297,692.32x = 72,648,301,572.13
  5. Step 5: Solve for x
    x = 72,648,301,572.13/297,692.32
  6. Step 6: Final answer
    x = 244,038.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.